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816225425092 = 2271154117232843
BaseRepresentation
bin10111110000010101101…
…00111001011011000100
32220000211011010201212201
423320022310321123010
5101333112202100332
61422545131324244
7112653553432240
oct13701264713304
92800734121781
10816225425092
11295182a78820
121122342b0684
135bc7b64c71c
142b711217420
15163729b55e7
hexbe0ad396c4

816225425092 has 96 divisors (see below), whose sum is σ = 1785810668544. Its totient is φ = 317126275200.

The previous prime is 816225425069. The next prime is 816225425123. The reversal of 816225425092 is 290524522618.

816225425092 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8162254250922 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 287098623 + ... + 287101465.

It is an arithmetic number, because the mean of its divisors is an integer number (18602194464).

Almost surely, 2816225425092 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 816225425092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892905334272).

816225425092 is an abundant number, since it is smaller than the sum of its proper divisors (969585243452).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

816225425092 is a wasteful number, since it uses less digits than its factorization.

816225425092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5129 (or 5127 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 46.

The spelling of 816225425092 in words is "eight hundred sixteen billion, two hundred twenty-five million, four hundred twenty-five thousand, ninety-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 541 1082 1723 2164 2843 3446 3787 5686 5951 6892 7574 11372 11902 12061 15148 18953 19901 23804 24122 31273 37906 39802 41657 48244 62546 75812 79604 83314 125092 132671 166628 218911 265342 437822 530684 875644 932143 1538063 1864286 3076126 3728572 4898489 6152252 6525001 9796978 10253573 10766441 13050002 16918693 19593956 20507146 21532882 26100004 33837386 34289423 41014292 43065764 53883379 67674772 68578846 71775011 107766758 118430851 137157692 143550022 215533516 236861702 287100044 377183653 473723404 754367306 1508734612 2650082549 5300165098 10600330196 18550577843 29150908039 37101155686 58301816078 74202311372 116603632156 204056356273 408112712546 816225425092